How many cubic yards are there in 186624 cubic inches?

• A. 5 cubic yards
• B. 6 cubic yards
• C. 4 cubic yards
• D. 3 cubic yards

Answer: (C)

To determine how many cubic yards are in 186,624 cubic inches, it's important to know the conversion factor between these two units.

There are 36 inches in one yard, leading to the following calculation for converting cubic inches to cubic yards:

1 cubic yard = (36 inches) x (36 inches) x (36 inches) = 46,656 cubic inches.

Now, to convert cubic inches to cubic yards, divide the volume in cubic inches by the volume of one cubic yard:

186,624 cubic inches ÷ 46,656 cubic inches per cubic yard = 4 cubic yards.

This calculation shows that 186,624 cubic inches equals 4 cubic yards, making the correct answer accurate. Understanding this conversion is crucial for working with volumes in construction and ensuring accurate measurements for various projects.